%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU327+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:48:22 PM UTC 2026
% Result : Theorem 9.20s 2.30s
% Output : Refutation 10.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 88 ( 24 unt; 8 def)
% Number of atoms : 221 ( 59 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 236 ( 103 ~; 106 |; 8 &)
% ( 9 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 72 ( 1 sgn 68 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f91,axiom,
! [X0] : cast_to_subset(X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_subset_1) ).
fof(f100,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> subset_complement(X0,X1) = set_difference(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_subset_1) ).
fof(f160,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> element(union_of_subsets(X0,X1),powerset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_setfam_1) ).
fof(f313,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> union_of_subsets(X0,X1) = union(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_setfam_1) ).
fof(f316,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X0))
& element(X2,powerset(X0)) )
=> subset_difference(X0,X1,X2) = set_difference(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_subset_1) ).
fof(f321,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f369,conjecture,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ( X1 != empty_set
=> meet_of_subsets(X0,complements_of_subsets(X0,X1)) = subset_complement(X0,union_of_subsets(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_tops_2) ).
fof(f370,negated_conjecture,
~ ! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ( X1 != empty_set
=> meet_of_subsets(X0,complements_of_subsets(X0,X1)) = subset_complement(X0,union_of_subsets(X0,X1)) ) ),
inference(negated_conjecture,[status(cth)],[f369]) ).
fof(f460,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f480,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ( X1 != empty_set
=> subset_difference(X0,cast_to_subset(X0),union_of_subsets(X0,X1)) = meet_of_subsets(X0,complements_of_subsets(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_setfam_1) ).
fof(f548,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f321]) ).
fof(f692,plain,
! [X0,X1] :
( subset_complement(X0,X1) = set_difference(X0,X1)
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f100]) ).
fof(f734,plain,
! [X0,X1] :
( element(union_of_subsets(X0,X1),powerset(X0))
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f160]) ).
fof(f865,plain,
! [X0,X1] :
( union_of_subsets(X0,X1) = union(X1)
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f313]) ).
fof(f869,plain,
! [X0,X1,X2] :
( subset_difference(X0,X1,X2) = set_difference(X1,X2)
| ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0)) ),
inference(ennf_transformation,[],[f316]) ).
fof(f870,plain,
! [X0,X1,X2] :
( subset_difference(X0,X1,X2) = set_difference(X1,X2)
| ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0)) ),
inference(flattening,[],[f869]) ).
fof(f947,plain,
? [X0,X1] :
( meet_of_subsets(X0,complements_of_subsets(X0,X1)) != subset_complement(X0,union_of_subsets(X0,X1))
& X1 != empty_set
& element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f370]) ).
fof(f948,plain,
? [X0,X1] :
( meet_of_subsets(X0,complements_of_subsets(X0,X1)) != subset_complement(X0,union_of_subsets(X0,X1))
& X1 != empty_set
& element(X1,powerset(powerset(X0))) ),
inference(flattening,[],[f947]) ).
fof(f1084,plain,
! [X0,X1] :
( subset_difference(X0,cast_to_subset(X0),union_of_subsets(X0,X1)) = meet_of_subsets(X0,complements_of_subsets(X0,X1))
| empty_set = X1
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f480]) ).
fof(f1085,plain,
! [X0,X1] :
( subset_difference(X0,cast_to_subset(X0),union_of_subsets(X0,X1)) = meet_of_subsets(X0,complements_of_subsets(X0,X1))
| empty_set = X1
| ~ element(X1,powerset(powerset(X0))) ),
inference(flattening,[],[f1084]) ).
fof(f1567,plain,
( meet_of_subsets(sK333,complements_of_subsets(sK333,sK334)) != subset_complement(sK333,union_of_subsets(sK333,sK334))
& empty_set != sK334
& element(sK334,powerset(powerset(sK333))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK333,sK334]),skolemize(X0,sK333),skolemize(X1,sK334)],[f948]) ).
fof(f1605,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f460]) ).
fof(f1940,plain,
! [X0] : cast_to_subset(X0) = X0,
inference(cnf_transformation,[],[f91]) ).
fof(f1985,plain,
! [X0,X1] :
( set_difference(X0,X1) = subset_complement(X0,X1)
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f692]) ).
fof(f2071,plain,
! [X0,X1] :
( element(union_of_subsets(X0,X1),powerset(X0))
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f734]) ).
fof(f2384,plain,
! [X0,X1] :
( union_of_subsets(X0,X1) = union(X1)
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f865]) ).
fof(f2387,plain,
! [X2,X0,X1] :
( subset_difference(X0,X1,X2) = set_difference(X1,X2)
| ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0)) ),
inference(cnf_transformation,[],[f870]) ).
fof(f2395,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f548]) ).
fof(f2858,plain,
element(sK334,powerset(powerset(sK333))),
inference(cnf_transformation,[],[f1567]) ).
fof(f2859,plain,
empty_set != sK334,
inference(cnf_transformation,[],[f1567]) ).
fof(f2860,plain,
meet_of_subsets(sK333,complements_of_subsets(sK333,sK334)) != subset_complement(sK333,union_of_subsets(sK333,sK334)),
inference(cnf_transformation,[],[f1567]) ).
fof(f3000,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f1605]) ).
fof(f3040,plain,
! [X0,X1] :
( meet_of_subsets(X0,complements_of_subsets(X0,X1)) = subset_difference(X0,cast_to_subset(X0),union_of_subsets(X0,X1))
| empty_set = X1
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f1085]) ).
fof(f4061,plain,
! [X0,X1] :
( meet_of_subsets(X0,complements_of_subsets(X0,X1)) = subset_difference(X0,X0,union_of_subsets(X0,X1))
| empty_set = X1
| ~ element(X1,powerset(powerset(X0))) ),
inference(forward_demodulation,[],[f3040,f1940]) ).
fof(f4216,definition,
( spl482_1
<=> meet_of_subsets(sK333,complements_of_subsets(sK333,sK334)) = subset_complement(sK333,union_of_subsets(sK333,sK334)) ),
introduced(definition,[new_symbols(definition,[spl482_1])],[avatar_definition]) ).
fof(f4218,plain,
( meet_of_subsets(sK333,complements_of_subsets(sK333,sK334)) != subset_complement(sK333,union_of_subsets(sK333,sK334))
| spl482_1 ),
inference(avatar_component_clause,[],[f4216]) ).
fof(f4219,plain,
~ spl482_1,
inference(avatar_split_clause,[],[f2860,f4216]) ).
fof(f4228,definition,
( spl482_2
<=> element(sK334,powerset(powerset(sK333))) ),
introduced(definition,[new_symbols(definition,[spl482_2])],[avatar_definition]) ).
fof(f4230,plain,
( element(sK334,powerset(powerset(sK333)))
| ~ spl482_2 ),
inference(avatar_component_clause,[],[f4228]) ).
fof(f4231,plain,
spl482_2,
inference(avatar_split_clause,[],[f2858,f4228]) ).
fof(f4238,plain,
( element(union_of_subsets(sK333,sK334),powerset(sK333))
| ~ spl482_2 ),
inference(resolution,[],[f4230,f2071]) ).
fof(f4242,plain,
( union_of_subsets(sK333,sK334) = union(sK334)
| ~ spl482_2 ),
inference(resolution,[],[f4230,f2384]) ).
fof(f4332,plain,
( element(union(sK334),powerset(sK333))
| ~ spl482_2 ),
inference(forward_demodulation,[],[f4238,f4242]) ).
fof(f4466,definition,
( spl482_6
<=> empty_set = sK334 ),
introduced(definition,[new_symbols(definition,[spl482_6])],[avatar_definition]) ).
fof(f4468,plain,
( empty_set != sK334
| spl482_6 ),
inference(avatar_component_clause,[],[f4466]) ).
fof(f4469,plain,
~ spl482_6,
inference(avatar_split_clause,[],[f2859,f4466]) ).
fof(f4648,definition,
( spl482_9
<=> element(union(sK334),powerset(sK333)) ),
introduced(definition,[new_symbols(definition,[spl482_9])],[avatar_definition]) ).
fof(f4650,plain,
( element(union(sK334),powerset(sK333))
| ~ spl482_9 ),
inference(avatar_component_clause,[],[f4648]) ).
fof(f4651,plain,
( spl482_9
| ~ spl482_2 ),
inference(avatar_split_clause,[],[f4332,f4228,f4648]) ).
fof(f4653,definition,
( spl482_10
<=> union_of_subsets(sK333,sK334) = union(sK334) ),
introduced(definition,[new_symbols(definition,[spl482_10])],[avatar_definition]) ).
fof(f4655,plain,
( union_of_subsets(sK333,sK334) = union(sK334)
| ~ spl482_10 ),
inference(avatar_component_clause,[],[f4653]) ).
fof(f4656,plain,
( spl482_10
| ~ spl482_2 ),
inference(avatar_split_clause,[],[f4242,f4228,f4653]) ).
fof(f4692,definition,
( spl482_13
<=> ! [X0,X1] :
( meet_of_subsets(X0,complements_of_subsets(X0,X1)) = subset_difference(X0,X0,union_of_subsets(X0,X1))
| empty_set = X1
| ~ element(X1,powerset(powerset(X0))) ) ),
introduced(definition,[new_symbols(definition,[spl482_13])],[avatar_definition]) ).
fof(f4693,plain,
( ! [X0,X1] :
( meet_of_subsets(X0,complements_of_subsets(X0,X1)) = subset_difference(X0,X0,union_of_subsets(X0,X1))
| empty_set = X1
| ~ element(X1,powerset(powerset(X0))) )
| ~ spl482_13 ),
inference(avatar_component_clause,[],[f4692]) ).
fof(f4694,plain,
spl482_13,
inference(avatar_split_clause,[],[f4061,f4692]) ).
fof(f4790,plain,
( subset_complement(sK333,union(sK334)) = set_difference(sK333,union(sK334))
| ~ spl482_9 ),
inference(resolution,[],[f4650,f1985]) ).
fof(f4901,plain,
( ! [X0,X1] :
( meet_of_subsets(X0,complements_of_subsets(X0,X1)) = set_difference(X0,union_of_subsets(X0,X1))
| ~ element(X0,powerset(X0))
| ~ element(union_of_subsets(X0,X1),powerset(X0))
| empty_set = X1
| ~ element(X1,powerset(powerset(X0))) )
| ~ spl482_13 ),
inference(superposition,[],[f2387,f4693]) ).
fof(f4906,plain,
( ! [X0,X1] :
( meet_of_subsets(X0,complements_of_subsets(X0,X1)) = set_difference(X0,union_of_subsets(X0,X1))
| ~ element(X0,powerset(X0))
| empty_set = X1
| ~ element(X1,powerset(powerset(X0))) )
| ~ spl482_13 ),
inference(forward_subsumption_resolution,[],[f4901,f2071]) ).
fof(f4912,definition,
( spl482_19
<=> ! [X0,X1] :
( meet_of_subsets(X0,complements_of_subsets(X0,X1)) = set_difference(X0,union_of_subsets(X0,X1))
| ~ element(X0,powerset(X0))
| empty_set = X1
| ~ element(X1,powerset(powerset(X0))) ) ),
introduced(definition,[new_symbols(definition,[spl482_19])],[avatar_definition]) ).
fof(f4913,plain,
( ! [X0,X1] :
( meet_of_subsets(X0,complements_of_subsets(X0,X1)) = set_difference(X0,union_of_subsets(X0,X1))
| ~ element(X0,powerset(X0))
| empty_set = X1
| ~ element(X1,powerset(powerset(X0))) )
| ~ spl482_19 ),
inference(avatar_component_clause,[],[f4912]) ).
fof(f4914,plain,
( spl482_19
| ~ spl482_13 ),
inference(avatar_split_clause,[],[f4906,f4692,f4912]) ).
fof(f4925,plain,
( subset_complement(sK333,union_of_subsets(sK333,sK334)) != set_difference(sK333,union_of_subsets(sK333,sK334))
| ~ element(sK333,powerset(sK333))
| empty_set = sK334
| ~ element(sK334,powerset(powerset(sK333)))
| spl482_1
| ~ spl482_19 ),
inference(superposition,[],[f4218,f4913]) ).
fof(f4929,plain,
( subset_complement(sK333,union_of_subsets(sK333,sK334)) != set_difference(sK333,union_of_subsets(sK333,sK334))
| ~ element(sK333,powerset(sK333))
| ~ element(sK334,powerset(powerset(sK333)))
| spl482_1
| spl482_6
| ~ spl482_19 ),
inference(forward_subsumption_resolution,[],[f4925,f4468]) ).
fof(f4937,plain,
( subset_complement(sK333,union_of_subsets(sK333,sK334)) != set_difference(sK333,union_of_subsets(sK333,sK334))
| ~ element(sK333,powerset(sK333))
| spl482_1
| ~ spl482_2
| spl482_6
| ~ spl482_19 ),
inference(forward_subsumption_resolution,[],[f4929,f4230]) ).
fof(f4941,plain,
( subset_complement(sK333,union(sK334)) != set_difference(sK333,union(sK334))
| ~ element(sK333,powerset(sK333))
| spl482_1
| ~ spl482_2
| spl482_6
| ~ spl482_10
| ~ spl482_19 ),
inference(forward_demodulation,[],[f4937,f4655]) ).
fof(f4945,plain,
( ~ element(sK333,powerset(sK333))
| spl482_1
| ~ spl482_2
| spl482_6
| ~ spl482_9
| ~ spl482_10
| ~ spl482_19 ),
inference(forward_subsumption_resolution,[],[f4941,f4790]) ).
fof(f4947,definition,
( spl482_20
<=> element(sK333,powerset(sK333)) ),
introduced(definition,[new_symbols(definition,[spl482_20])],[avatar_definition]) ).
fof(f4949,plain,
( ~ element(sK333,powerset(sK333))
| spl482_20 ),
inference(avatar_component_clause,[],[f4947]) ).
fof(f4950,plain,
( ~ spl482_20
| spl482_1
| ~ spl482_2
| spl482_6
| ~ spl482_9
| ~ spl482_10
| ~ spl482_19 ),
inference(avatar_split_clause,[],[f4945,f4912,f4653,f4648,f4466,f4228,f4216,f4947]) ).
fof(f4951,plain,
( ~ subset(sK333,sK333)
| spl482_20 ),
inference(resolution,[],[f4949,f3000]) ).
fof(f4959,plain,
( $false
| spl482_20 ),
inference(forward_subsumption_resolution,[],[f4951,f2395]) ).
fof(f4960,plain,
spl482_20,
inference(avatar_contradiction_clause,[],[f4959]) ).
cnf(s1,plain,
~ spl482_1,
inference(sat_conversion,[],[f4219]) ).
cnf(s2,plain,
spl482_2,
inference(sat_conversion,[],[f4231]) ).
cnf(s6,plain,
~ spl482_6,
inference(sat_conversion,[],[f4469]) ).
cnf(s9,plain,
( ~ spl482_2
| spl482_9 ),
inference(sat_conversion,[],[f4651]) ).
cnf(s10,plain,
( ~ spl482_2
| spl482_10 ),
inference(sat_conversion,[],[f4656]) ).
cnf(s13,plain,
spl482_13,
inference(sat_conversion,[],[f4694]) ).
cnf(s19,plain,
( ~ spl482_13
| spl482_19 ),
inference(sat_conversion,[],[f4914]) ).
cnf(s20,plain,
( spl482_1
| ~ spl482_2
| spl482_6
| ~ spl482_9
| ~ spl482_10
| ~ spl482_19
| ~ spl482_20 ),
inference(sat_conversion,[],[f4950]) ).
cnf(s21,plain,
spl482_20,
inference(sat_conversion,[],[f4960]) ).
cnf(s22,plain,
( spl482_1
| ~ spl482_2
| spl482_6
| ~ spl482_9
| ~ spl482_10
| ~ spl482_19 ),
inference(rat,[],[s20,s21]) ).
cnf(s23,plain,
spl482_19,
inference(rat,[],[s19,s13]) ).
cnf(s28,plain,
spl482_10,
inference(rat,[],[s10,s2]) ).
cnf(s29,plain,
spl482_9,
inference(rat,[],[s9,s2]) ).
cnf(s32,plain,
spl482_1,
inference(rat,[],[s22,s23,s28,s2,s6,s29]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s1,s32]) ).
fof(f4961,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU327+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.36 % Computer : n010.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Mon Sep 28 04:44:02 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.77/2.30 % (1559516)Detected formulas, will run a generic FOF schedule.
% 9.77/2.30 % (1559525)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2523822880:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.77/2.30 % (1559525)Instruction limit reached!
% 9.77/2.30 % (1559525)------------------------------
% 9.77/2.30 % (1559525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.77/2.30 % (1559525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.77/2.30 % (1559525)CaDiCaL version: 2.1.3
% 9.77/2.30 % (1559525)Termination reason: Instruction limit
% 9.77/2.30 % (1559525)Termination phase: Saturation
% 9.77/2.30 % (1559525)Time elapsed: 0.043 s
% 9.77/2.30 % (1559525)Peak memory usage: 91 MB
% 9.77/2.30 % (1559525)Instructions burned: 119 (million)
% 9.77/2.30 % (1559521)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3800018983:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.77/2.30 % (1559523)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2776869986:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.20/2.30 % (1559524)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3673901284:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.20/2.30 % (1559522)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=767434088:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.20/2.30 % (1559527)dis-21_1_sil=8000:lcm=predicate:random_seed=3547034783:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 9.20/2.30 % (1559526)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3021020118:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.20/2.30 % (1559524)Instruction limit reached!
% 9.20/2.30 % (1559524)------------------------------
% 9.20/2.30 % (1559524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.20/2.30 % (1559524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/2.30 % (1559524)CaDiCaL version: 2.1.3
% 9.20/2.30 % (1559524)Termination reason: Instruction limit
% 9.20/2.30 % (1559524)Termination phase: Saturation
% 9.20/2.30 % (1559524)Time elapsed: 0.062 s
% 9.20/2.30 % (1559524)Peak memory usage: 91 MB
% 9.20/2.30 % (1559524)Instructions burned: 110 (million)
% 9.20/2.30 % (1559527)Instruction limit reached!
% 9.20/2.30 % (1559527)------------------------------
% 9.20/2.30 % (1559527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.20/2.30 % (1559527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/2.30 % (1559527)CaDiCaL version: 2.1.3
% 9.20/2.30 % (1559527)Termination reason: Instruction limit
% 9.20/2.30 % (1559527)Termination phase: Saturation
% 9.20/2.30 % (1559527)Time elapsed: 0.065 s
% 9.20/2.30 % (1559527)Peak memory usage: 90 MB
% 9.20/2.30 % (1559527)Instructions burned: 129 (million)
% 9.20/2.30 % (1559533)lrs+10_1_sil=8000:sp=occurrence:random_seed=3717874903:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.20/2.30 % (1559526)Instruction limit reached!
% 9.20/2.30 % (1559526)------------------------------
% 9.20/2.30 % (1559526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.20/2.30 % (1559526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/2.30 % (1559526)CaDiCaL version: 2.1.3
% 9.20/2.30 % (1559526)Termination reason: Instruction limit
% 9.20/2.30 % (1559526)Termination phase: Saturation
% 9.20/2.30 % (1559526)Time elapsed: 0.097 s
% 9.20/2.30 % (1559526)Peak memory usage: 92 MB
% 9.20/2.30 % (1559526)Instructions burned: 139 (million)
% 9.20/2.30 % (1559533)Instruction limit reached!
% 9.20/2.30 % (1559533)------------------------------
% 9.20/2.30 % (1559533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.20/2.30 % (1559533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/2.30 % (1559533)CaDiCaL version: 2.1.3
% 9.20/2.30 % (1559533)Termination reason: Instruction limit
% 9.20/2.30 % (1559533)Termination phase: Saturation
% 9.20/2.30 % (1559533)Time elapsed: 0.103 s
% 9.20/2.30 % (1559533)Peak memory usage: 95 MB
% 9.20/2.30 % (1559533)Instructions burned: 285 (million)
% 9.20/2.30 % (1559537)lrs+1011_1_sil=32000:sp=occurrence:random_seed=498501637:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.20/2.30 % (1559536)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2775861733:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.20/2.30 % (1559539)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2247815786:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 9.20/2.30 % (1559540)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=880419534:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 9.20/2.30 % (1559536)Instruction limit reached!
% 9.20/2.30 % (1559536)------------------------------
% 9.20/2.30 % (1559536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.20/2.30 % (1559536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/2.30 % (1559536)CaDiCaL version: 2.1.3
% 9.20/2.30 % (1559536)Termination reason: Instruction limit
% 9.20/2.30 % (1559536)Termination phase: Saturation
% 9.20/2.30 % (1559536)Time elapsed: 0.096 s
% 9.20/2.30 % (1559536)Peak memory usage: 91 MB
% 9.20/2.30 % (1559536)Instructions burned: 157 (million)
% 9.20/2.30 % (1559540)Instruction limit reached!
% 9.20/2.30 % (1559540)------------------------------
% 9.20/2.30 % (1559540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.20/2.30 % (1559540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/2.30 % (1559540)CaDiCaL version: 2.1.3
% 9.20/2.30 % (1559540)Termination reason: Instruction limit
% 9.20/2.30 % (1559540)Termination phase: Saturation
% 9.20/2.30 % (1559540)Time elapsed: 0.100 s
% 9.20/2.30 % (1559540)Peak memory usage: 92 MB
% 9.20/2.30 % (1559540)Instructions burned: 294 (million)
% 9.20/2.30 % (1559539)Instruction limit reached!
% 9.20/2.30 % (1559539)------------------------------
% 9.20/2.30 % (1559539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.20/2.30 % (1559539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/2.30 % (1559539)CaDiCaL version: 2.1.3
% 9.20/2.30 % (1559539)Termination reason: Instruction limit
% 9.20/2.30 % (1559539)Termination phase: Saturation
% 9.20/2.30 % (1559539)Time elapsed: 0.151 s
% 9.20/2.30 % (1559539)Peak memory usage: 93 MB
% 9.20/2.30 % (1559539)Instructions burned: 248 (million)
% 9.20/2.30 % (1559545)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3128032072:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 9.20/2.30 % (1559537)Instruction limit reached!
% 9.20/2.30 % (1559537)------------------------------
% 9.20/2.30 % (1559537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.20/2.30 % (1559537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/2.30 % (1559537)CaDiCaL version: 2.1.3
% 9.20/2.30 % (1559537)Termination reason: Instruction limit
% 9.20/2.30 % (1559537)Termination phase: Saturation
% 9.20/2.30 % (1559537)Time elapsed: 0.228 s
% 9.20/2.30 % (1559537)Peak memory usage: 95 MB
% 9.20/2.30 % (1559537)Instructions burned: 326 (million)
% 9.20/2.30 % (1559546)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1425423408:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 9.20/2.30 % (1559546)Instruction limit reached!
% 9.20/2.30 % (1559546)------------------------------
% 9.20/2.30 % (1559546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.20/2.30 % (1559546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/2.30 % (1559546)CaDiCaL version: 2.1.3
% 9.20/2.30 % (1559546)Termination reason: Instruction limit
% 9.20/2.30 % (1559546)Termination phase: Saturation
% 9.20/2.30 % (1559546)Time elapsed: 0.037 s
% 9.20/2.30 % (1559546)Peak memory usage: 91 MB
% 9.20/2.30 % (1559546)Instructions burned: 115 (million)
% 9.20/2.30 % (1559547)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1477298052:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 9.20/2.30 % (1559549)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1705163281:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 9.20/2.30 % (1559547)Instruction limit reached!
% 9.20/2.30 % (1559547)------------------------------
% 9.20/2.30 % (1559547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.20/2.30 % (1559547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/2.30 % (1559547)CaDiCaL version: 2.1.3
% 9.20/2.30 % (1559547)Termination reason: Instruction limit
% 9.20/2.30 % (1559547)Termination phase: Saturation
% 9.20/2.30 % (1559547)Time elapsed: 0.071 s
% 9.20/2.30 % (1559547)Peak memory usage: 91 MB
% 9.20/2.30 % (1559547)Instructions burned: 128 (million)
% 9.20/2.30 % (1559551)lrs+10_1_sil=8000:sp=occurrence:random_seed=772901219:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 9.20/2.30 % (1559549)Instruction limit reached!
% 9.20/2.30 % (1559549)------------------------------
% 9.20/2.30 % (1559549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.20/2.30 % (1559549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/2.30 % (1559549)CaDiCaL version: 2.1.3
% 9.20/2.30 % (1559549)Termination reason: Instruction limit
% 9.20/2.30 % (1559549)Termination phase: Saturation
% 9.20/2.30 % (1559549)Time elapsed: 0.056 s
% 9.20/2.30 % (1559549)Peak memory usage: 89 MB
% 9.20/2.30 % (1559549)Instructions burned: 115 (million)
% 9.20/2.30 % (1559554)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=629686462:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 9.20/2.30 % (1559556)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3032139429:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 9.20/2.30 % (1559551)Instruction limit reached!
% 9.20/2.30 % (1559551)------------------------------
% 9.20/2.30 % (1559551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.20/2.30 % (1559551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/2.30 % (1559551)CaDiCaL version: 2.1.3
% 9.20/2.30 % (1559551)Termination reason: Instruction limit
% 9.20/2.30 % (1559551)Termination phase: Saturation
% 9.20/2.30 % (1559551)Time elapsed: 0.316 s
% 9.20/2.30 % (1559551)Peak memory usage: 104 MB
% 9.20/2.30 % (1559551)Instructions burned: 910 (million)
% 9.20/2.30 % (1559554)Instruction limit reached!
% 9.20/2.30 % (1559554)------------------------------
% 9.20/2.30 % (1559554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.20/2.30 % (1559554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/2.30 % (1559554)CaDiCaL version: 2.1.3
% 9.20/2.30 % (1559554)Termination reason: Instruction limit
% 9.20/2.30 % (1559554)Termination phase: Saturation
% 9.20/2.30 % (1559554)Time elapsed: 0.270 s
% 9.20/2.30 % (1559554)Peak memory usage: 95 MB
% 9.20/2.30 % (1559554)Instructions burned: 437 (million)
% 9.20/2.30 % (1559559)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3756299868:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 9.20/2.30 % (1559523)First to succeed.
% 9.20/2.30 % (1559523)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1559516"
% 9.20/2.30 % (1559559)Instruction limit reached!
% 9.20/2.30 % (1559559)------------------------------
% 9.20/2.30 % (1559559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.20/2.30 % (1559559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/2.30 % (1559559)CaDiCaL version: 2.1.3
% 9.20/2.30 % (1559559)Termination reason: Instruction limit
% 9.20/2.30 % (1559559)Termination phase: Saturation
% 9.20/2.30 % (1559559)Time elapsed: 0.042 s
% 9.20/2.30 % (1559559)Peak memory usage: 92 MB
% 9.20/2.30 % (1559559)Instructions burned: 137 (million)
% 9.20/2.30 % (1559560)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=806300275:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 9.20/2.30 % (1559562)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1739407421:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 9.20/2.30 % (1559523)Refutation found. Thanks to Tanya!
% 9.20/2.30 % SZS status Theorem for theBenchmark
% 9.20/2.30 % SZS output start Proof for theBenchmark
% See solution above
% 10.75/2.50 % (1559523)------------------------------
% 10.75/2.50 % (1559523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.50 % (1559523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.50 % (1559523)CaDiCaL version: 2.1.3
% 10.75/2.50 % (1559523)Termination reason: Refutation
% 10.75/2.50 % (1559523)Time elapsed: 1.029 s
% 10.75/2.50 % (1559523)Peak memory usage: 149 MB
% 10.75/2.50 % (1559523)Instructions burned: 1632 (million)
% 10.75/2.50 % (1559523)------------------------------
% 10.75/2.50 % (1559523)------------------------------
% 10.75/2.50 % (1559516)Success in time 1.462 s
% 10.75/2.50 % Vampire exiting
%------------------------------------------------------------------------------